103131112 has 64 divisors (see below), whose sum is σ = 236113920. Its totient is φ = 41223168.

The previous prime is 103131101. The next prime is 103131137. The reversal of 103131112 is 211131301.

It is a junction number, because it is equal to n+sod(n) for n = 103131092 and 103131101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120478 + ... + 121330.

It is an arithmetic number, because the mean of its divisors is an integer number (3689280).

Almost surely, 2^103131112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118056960).

103131112 is an abundant number, since it is smaller than the sum of its proper divisors (132982808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103131112 is a wasteful number, since it uses less digits than its factorization.

103131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 103131112 is about 10155.3489354133. The cubic root of 103131112 is about 468.9536281046.

Adding to 103131112 its reverse (211131301), we get a palindrome (314262413).

The spelling of 103131112 in words is "one hundred three million, one hundred thirty-one thousand, one hundred twelve".